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34381700700 = 22352263435763
BaseRepresentation
bin100000000001010011…
…110001111001011100
310021202010020100202020
4200001103301321130
51030403203410300
623443355100140
72325003430314
oct400123617134
9107663210666
1034381700700
1113643634686
1267b6441650
13331c0bbac9
14194235c444
15d6364a8a0
hex8014f1e5c

34381700700 has 72 divisors (see below), whose sum is σ = 99856192128. Its totient is φ = 9133571520.

The previous prime is 34381700693. The next prime is 34381700737. The reversal of 34381700700 is 700718343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138982 + ... + 296781.

Almost surely, 234381700700 is an apocalyptic number.

34381700700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34381700700 is an abundant number, since it is smaller than the sum of its proper divisors (65474491428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34381700700 is a wasteful number, since it uses less digits than its factorization.

34381700700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436043 (or 436036 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 34381700700 in words is "thirty-four billion, three hundred eighty-one million, seven hundred thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 2630 3156 3945 5260 6575 7890 13150 15780 19725 26300 39450 78900 435763 871526 1307289 1743052 2178815 2614578 4357630 5229156 6536445 8715260 10894075 13072890 21788150 26145780 32682225 43576300 65364450 114605669 130728900 229211338 343817007 458422676 573028345 687634014 1146056690 1375268028 1719085035 2292113380 2865141725 3438170070 5730283450 6876340140 8595425175 11460566900 17190850350 34381700700